Analytical Solutions for Scale and Time Dependent Solute Transport in Heterogeneous Porous Medium
Raja Ram Yadav,
Sujata Kushwaha,
Joy Roy,
Lav Kush Kumar
Issue:
Volume 12, Issue 1, February 2023
Pages:
1-11
Received:
1 April 2023
Accepted:
28 April 2023
Published:
18 May 2023
Abstract: Contaminated groundwater has been a serious problem across the world for many years as it has a bad impact on the quality of groundwater as well as on the environment. This study considers the solute transport problem in a heterogeneous porous medium with scale and time-dependent dispersion. The heterogeneity of porous media at the microscopic level facilitates dispersion, which affects groundwater flow patterns and solute distribution. For this work, the porous formation is assumed to be of semi-infinite length and of adsorbing nature. The key parameters such as dispersion coefficient and groundwater velocity are considered to be spatially and temporally dependent functions in degenerated forms. In addition, the first-order decay and zero-order production terms are also considered as time-dependent functions. Initially, it is assumed that the aquifer is uniformly polluted. Two different types of input sources namely uniform and varying nature are considered along the flow at one end in two separate cases, while concentration gradient, at non-source end boundary, is supposed to be zero. An analytical solution of the current boundary value problem is obtained using the Laplace Integral Transform Technique (LITT). The results obtained from the proposed problem are demonstrated graphically for a particular time functions in dispersion and groundwater velocity.
Abstract: Contaminated groundwater has been a serious problem across the world for many years as it has a bad impact on the quality of groundwater as well as on the environment. This study considers the solute transport problem in a heterogeneous porous medium with scale and time-dependent dispersion. The heterogeneity of porous media at the microscopic leve...
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Prediction of Consecutive Days Maximum Rainfall Using Frequency Analysis for Nekemte Town, Oromia, Ethiopia
Issue:
Volume 12, Issue 1, February 2023
Pages:
12-22
Received:
23 August 2023
Accepted:
5 September 2023
Published:
27 September 2023
Abstract: Rain is a scanty and vital hydrological factor in arid and semi-arid regions. The amount of runoff produced and rainfall received determine the development of water resources in any region. An important step in the analysis of rainfall frequency is to choose an appropriate distribution to represent the depth of rainfall to study rainfall. Analyzing the frequency of various rainfall data was attempted by Gumbel, Log normal, and Log person type III distribution method. The projected rainfall can be calculated with the aid of frequency analysis. Annual rainfall data for 22 years (2000-2021) were collected from the Ethiopian Meteorological Institute (EMI) for Nekemte station. The goal of this study is to identify the optimal theoretical probability distribution by fitting it to the maximum yearly rainfall for one day, two days, and three days distribution for the prediction of maximum annual rainfall for daily, two consecutive days, and three consecutive days. For the determination of goodness of fit chi-square, percentage absolute deviation, and the integral square error was carried out by comparing the expected values with the observed values. The results found showed that the log-normal, distribution emerged to be the best fit for the prediction of annual maximum rainfall values of Nekemte for one day. And also, another best fit was Gumbel distribution for two, and three consecutive days.
Abstract: Rain is a scanty and vital hydrological factor in arid and semi-arid regions. The amount of runoff produced and rainfall received determine the development of water resources in any region. An important step in the analysis of rainfall frequency is to choose an appropriate distribution to represent the depth of rainfall to study rainfall. Analyzing...
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